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Pith Number

pith:DZ3RE3L2

pith:1999:DZ3RE3L24AYLAMMWWFVPKAR64M
not attested not anchored not stored refs pending

Renormalization group scaling in nonrelativistic QCD

Aneesh V. Manohar, Ira Z. Rothstein, Michael E. Luke

arxiv:hep-ph/9910209 v1 · 1999-10-02 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DZ3RE3L24AYLAMMWWFVPKAR64M}

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Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

Receipt and verification
First computed 2026-07-04T16:14:30.341342Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1e77126d7ae030b03196b16af5023ee32690949d9be0351bfc119c71c0b85c25

Aliases

arxiv: hep-ph/9910209 · arxiv_version: hep-ph/9910209v1 · doi: 10.48550/arxiv.hep-ph/9910209 · pith_short_12: DZ3RE3L24AYL · pith_short_16: DZ3RE3L24AYLAMMW · pith_short_8: DZ3RE3L2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DZ3RE3L24AYLAMMWWFVPKAR64M \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1e77126d7ae030b03196b16af5023ee32690949d9be0351bfc119c71c0b85c25
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a28c8d35c6b9082abfd1f778aadfe5833944e8b8d97c2d711a4138a2c50f84d1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-10-02T01:41:48Z",
    "title_canon_sha256": "f771f1780d5499c6f566a561852b418f2eb2a6c5dec2fd96fb6a621814a743af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9910209",
    "kind": "arxiv",
    "version": 1
  }
}